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Finding the Fourth Proportional to 604.01, 828.51 and 598.80

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Solution

The fourth proportional to 604.01, 828.51 and 598.80 is: 821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.01 : 828.51 = 598.80 : x
  2. Step 2: Convert to fraction form
    604.01/828.51 = 598.80/x
  3. Step 3: Cross multiply
    604.01x = 828.51 × 598.80
  4. Step 4: Simplify right side
    604.01x = 496,111.79
  5. Step 5: Solve for x
    x = 496,111.79/604.01
  6. Step 6: Final answer
    x = 821.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.